Search for Periodic Orbits in Delay Differential Equations

ROMINA COBIAGA; WALTER REARTES

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

WORLD SCIENTIFIC PUBL CO PTE LTD

Lugar: Singapur; Año: 2014 vol. 24 p. 1 - 10

0218-1274

In a previous paper, we developed a new way to apply the Homotopy Analysis Method (HAM) in the search for periodic orbits in dynamical systems modeled by ordinary differential equations. This method differs from the original in the heuristic search of the frequencies of the cycles. In this paper, we show that the method can be extended to the search for periodic orbits in delay differential equations. Herein, this methodology is applied twice, firstly in an equation of van der Pol type and secondly in an anharmonic oscillator, both systems with a delayed feedback.